# Rational points on a subanalytic surface

Jonathan Pila^{[1]}

- [1] McGill University, department of mathematics and statistics, Burnside Hall, 805 Sherbrooke Street West, Montreal, Quebec, H3A 2K6 (Canada), University of Oxford, mathematical institute, 24-29 St Giles, Oxford OX1 3LB (Grande-Bretagne)

Annales de l’institut Fourier (2005)

- Volume: 55, Issue: 5, page 1501-1516
- ISSN: 0373-0956

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topPila, Jonathan. "Rational points on a subanalytic surface." Annales de l’institut Fourier 55.5 (2005): 1501-1516. <http://eudml.org/doc/116224>.

@article{Pila2005,

abstract = {Let $X\subset \{\mathbb \{R\}\}^n$ be a compact subanalytic surface. This paper shows that, in a
suitable sense, there are very few rational points of $X$ that do not lie on some
connected semialgebraic curve contained in $X$.},

affiliation = {McGill University, department of mathematics and statistics, Burnside Hall, 805 Sherbrooke Street West, Montreal, Quebec, H3A 2K6 (Canada), University of Oxford, mathematical institute, 24-29 St Giles, Oxford OX1 3LB (Grande-Bretagne)},

author = {Pila, Jonathan},

journal = {Annales de l’institut Fourier},

keywords = {Subanalytic set; rational point; subanalytic set; semianalytic set; height},

language = {eng},

number = {5},

pages = {1501-1516},

publisher = {Association des Annales de l'Institut Fourier},

title = {Rational points on a subanalytic surface},

url = {http://eudml.org/doc/116224},

volume = {55},

year = {2005},

}

TY - JOUR

AU - Pila, Jonathan

TI - Rational points on a subanalytic surface

JO - Annales de l’institut Fourier

PY - 2005

PB - Association des Annales de l'Institut Fourier

VL - 55

IS - 5

SP - 1501

EP - 1516

AB - Let $X\subset {\mathbb {R}}^n$ be a compact subanalytic surface. This paper shows that, in a
suitable sense, there are very few rational points of $X$ that do not lie on some
connected semialgebraic curve contained in $X$.

LA - eng

KW - Subanalytic set; rational point; subanalytic set; semianalytic set; height

UR - http://eudml.org/doc/116224

ER -

## References

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